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Other examples of point-to-point communications links are leased lines and microwave radio relay. The term is also used in computer networking and computer architecture to refer to a wire or other connection that links only two computers or circuits, as opposed to other network topologies such as buses or crossbar switches which can connect ...
Attracting fixed points are a special case of a wider mathematical concept of attractors. Fixed-point iterations are a discrete dynamical system on one variable. Bifurcation theory studies dynamical systems and classifies various behaviors such as attracting fixed points, periodic orbits, or strange attractors. An example system is the logistic ...
Locally compact spaces, for example, are those spaces that, at every point, have a neighbourhood basis consisting entirely of compact sets. Neighbourhood filter The neighbourhood system for a point (or non-empty subset) x {\displaystyle x} is a filter called the neighbourhood filter for x . {\displaystyle x.}
An example of this is the systems of homogeneous coordinates for points and lines in the projective plane. The two systems in a case like this are said to be dualistic . Dualistic systems have the property that results from one system can be carried over to the other since these results are only different interpretations of the same analytical ...
In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space, such as in a parametric curve. Examples include the mathematical models that describe the swinging of a clock pendulum , the flow of water in a pipe , the random motion of particles in the air , and the number of fish ...
For example, in a system with 6 destinations, the spoke–hub system requires only 5 routes to connect all destinations, and a true point-to-point system would require 15 routes. However distance traveled per route will necessarily be more than with a point-to-point system (except where the route happens to have no interchange).
Systems displaying radial symmetry provide natural settings for the polar coordinate system, with the central point acting as the pole. A prime example of this usage is the groundwater flow equation when applied to radially symmetric wells. Systems with a radial force are also good candidates for the use of the polar coordinate system. These ...
A point P has coordinates (x, y) with respect to the original system and coordinates (x′, y′) with respect to the new system. [1] In the new coordinate system, the point P will appear to have been rotated in the opposite direction, that is, clockwise through the angle . A rotation of axes in more than two dimensions is defined similarly.